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Finding the Fourth Proportional to 127.76, 191.64 and 31.57

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Solution

The fourth proportional to 127.76, 191.64 and 31.57 is: 47.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.76 : 191.64 = 31.57 : x
  2. Step 2: Convert to fraction form
    127.76/191.64 = 31.57/x
  3. Step 3: Cross multiply
    127.76x = 191.64 × 31.57
  4. Step 4: Simplify right side
    127.76x = 6,050.61
  5. Step 5: Solve for x
    x = 6,050.61/127.76
  6. Step 6: Final answer
    x = 47.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.